What is the Greatest Common Factor of 38896 and 38906?

Greatest common factor (GCF) of 38896 and 38906 is 2.

GCF(38896,38906) = 2

We will now calculate the prime factors of 38896 and 38906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38896 and 38906.

How to find the GCF of 38896 and 38906?

We will first find the prime factorization of 38896 and 38906. After we will calculate the factors of 38896 and 38906 and find the biggest common factor number .

Step-1: Prime Factorization of 38896

Prime factors of 38896 are 2, 11, 13, 17. Prime factorization of 38896 in exponential form is:

38896 = 2⁴ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 38906

Prime factors of 38906 are 2, 7, 397. Prime factorization of 38906 in exponential form is:

38906 = 2¹ × 7² × 397¹

Step-3: Factors of 38896

List of positive integer factors of 38896 that divides 38896 without a remainder.

1, 2, 4, 8, 11, 13, 16, 17, 22, 26, 34, 44, 52, 68, 88, 104, 136, 143, 176, 187, 208, 221, 272, 286, 374, 442, 572, 748, 884, 1144, 1496, 1768, 2288, 2431, 2992, 3536, 4862, 9724, 19448

Step-4: Factors of 38906

List of positive integer factors of 38906 that divides 38896 without a remainder.

1, 2, 7, 14, 49, 98, 397, 794, 2779, 5558, 19453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38896 and 38906. The biggest common factor number is the GCF number.
So the greatest common factor 38896 and 38906 is 2.

Also check out the Least Common Multiple of 38896 and 38906